What is the general solution for sin(θ)= 1/3 ,cos(θ)=(2sqrt(2))/3 ?

The general solution for sin(θ)= 1/3 ,cos(θ)=(2sqrt(2))/3 is No Solution for θ\in\mathbb{R}

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sin(θ)= 1/3 ,cos(θ)=(2sqrt(2))/3

sin (θ) = \frac{1}{3}, cos (θ) = \frac{2 2}{3}

No Solution for θ \in R

Solution steps

sin (θ) = \frac{1}{3}, cos (θ) = \frac{2 2}{3}

Apply trig inverse properties

θ = arcsin (\frac{1}{3}) + 2 πn, θ = π - arcsin (\frac{1}{3}) + 2 πn

Solutions for the range

cos (θ) = \frac{2 2}{3}

No Solution for θ \in R

sin (2 x) = \frac{3}{4}

sin (3 θ) - sin (5 θ) = sin (θ), 0 \leq θ \leq \frac{π}{2}

4 sin (2 θ) - 1 = 0

\frac{3}{2} = sin (x)

sec (w) csc (w) = 2 sec (w)

What is the general solution for sin(θ)= 1/3 ,cos(θ)=(2sqrt(2))/3 ?
The general solution for sin(θ)= 1/3 ,cos(θ)=(2sqrt(2))/3 is No Solution for θ\in\mathbb{R}